For the 2³table of opinions about legalized abortion (Table 10.13) collapsed over gender, fit a latent class model with two classes. Show that it is saturated. For each latent class, report the estimated probability of supporting legalized abortion in each of the three situations. Give a tentative interpretation for the classes.

Table 10.13:

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Support for Legalizing Abortion in Three Situations, by Gender Sequence of Responses on the Three Items“ (1, 1, 1) (1, 1, 2) (2,1, 1) (2, 1, 2) (1,2, 1) (1,2, 2) (2,2,1) (2,2, 2) 21 Gender 342 440 11 32 47 19 22 Male Female 356 457 26 14 18 25 14 "Items are (1) if the family has a very low income and cannot afford anymore children, (2) when the woman is not married and does not want to marry the man, and (3) when the woman wants it for any reason. 1, yes; 2, no. ге